Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 5, Problem 12QP
Summary Introduction
To calculate: The
Introduction:
The future value of money refers to the amount of dollars that an investment grows over a definite period at a particular rate of interest rate. In other words, it refers to the future value of present cash investments.
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appropriate discount rate is 8.45 percent?
12. Calculating Future Values Your coin collection contains fifty 1952 silver
dollars. If your grandparents purchased them for their face value when they
were new, how much will your collection be worth when you retire in 2063,
assuming they appreciate at an annual rate of 4.8 percent?
1On the day you retire you have $500,000 saved. You expect to live another 30 years during which time you expect to earn 8% on your savings while inflation averages 3.5% annually. Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime. What real amount will you be able to spend each year?
a. $61,931.78 b. $79,211.09 c. $79,644.58 d. $30,695.77
2Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32
3What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36
4. Looking forward - Future value
Compounding Interest
You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on your other obligations, you can save 6,875.00 per year via an annual, single year-end deposit. You are 40 years old now, so your money will grow for the next 25 years until you turn 65. You will open a savings account at the US Bank branch near your home. Its savings accounts are paying 6% interest.
The following table shows the future value factors for various periods and interest rates:
Future Value of an Annuity Factor
Year
2%
3%
5%
6%
8%
9%
10%
10
10.950
11.460
12.578
13.180
14.487
15.190
15.937
12
13.412
14.190
15.917
16.870
18.977
20.140
21.384
15
17.293
18.600
21.578
23.270
27.152
29.360
31.772
20
24.297
26.870
33.066
36.780
45.762
51.160
57.274
25
32.030
36.460
47.726
54.860
73.105
84.700
98.346
30
40.567
47.570
66.438
79.060
113.282
136.300…
Chapter 5 Solutions
Fundamentals of Corporate Finance
Ch. 5.1 - Prob. 5.1ACQCh. 5.1 - Prob. 5.1BCQCh. 5.1 - Prob. 5.1CCQCh. 5.2 - Prob. 5.2ACQCh. 5.2 - Prob. 5.2BCQCh. 5.2 - What do we mean by discounted cash flow, or DCF,...Ch. 5.2 - Prob. 5.2DCQCh. 5.3 - Prob. 5.3ACQCh. 5.3 - Prob. 5.3BCQCh. 5 - You deposited 2,000 in a bank account that pays 5...
Ch. 5 - Prob. 5.2CTFCh. 5 - Charlie invested 6,200 in a stock last year....Ch. 5 - Prob. 1CRCTCh. 5 - Compounding [LO1, 2] What is compounding? What is...Ch. 5 - Prob. 3CRCTCh. 5 - Compounding and Interest Rates [LO1, 2] What...Ch. 5 - Prob. 5CRCTCh. 5 - Prob. 6CRCTCh. 5 - Prob. 7CRCTCh. 5 - Prob. 8CRCTCh. 5 - Prob. 9CRCTCh. 5 - Prob. 10CRCTCh. 5 - Prob. 1QPCh. 5 - Prob. 2QPCh. 5 - Calculating Present Values [LO2] For each of the...Ch. 5 - Calculating Interest Kates [LO3] Solve for the...Ch. 5 - Prob. 5QPCh. 5 - Calculating Interest Rates [LO3] Assume the total...Ch. 5 - Prob. 7QPCh. 5 - Calculating Interest Rates [LO3] According to the...Ch. 5 - Calculating the Number of Periods [LO4] Youre...Ch. 5 - Prob. 10QPCh. 5 - Prob. 11QPCh. 5 - Prob. 12QPCh. 5 - Calculating Interest Rates and Future Values [LO1,...Ch. 5 - Calculating Rates of Return [LO3] Although...Ch. 5 - Prob. 15QPCh. 5 - Prob. 16QPCh. 5 - Calculating Present Values [LO2] Suppose you are...Ch. 5 - Prob. 18QPCh. 5 - Calculating Future Values [LO1] You are scheduled...Ch. 5 - Prob. 20QP
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- Q10. You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 28th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 8%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? Question content area bottom Part 1 The amount to deposit each year is $ enter your response here. (Round to the nearest dollar.)arrow_forwardIt is with deep regret that I inform you that your rich uncle just passed away. His money is tied up in an investment. However, we can sell the investment and give you $15,000 today, or you will receive $20,000 in 5 years when the investment matures. Which would you choose? Use March 2023’s inflation rate (5%)arrow_forward18. Calculating Future Values You have just made your first $5,000 contribution to your individual retirement account. Assuming you earn an annual rate of return of 10.2 percent and make no additional contributions, what will your account be worth when you retire in 45 years? What if you wait 10 years before contributing? (Does this suggest an investment strategy?) LO 1arrow_forward
- How much would $7,550 due in 50 years be worth today if the discount rate were 7.5%? Select the correct answer. a. $199.11 b. $203.01 c. $204.31 d. $201.71 e. $200.41arrow_forwardYour older sister deposited $100,000 today at 12.5 percent interest for 10 years. You would like to have just as much money at the end of the next 10 years as your sister will have. However, you can only earn 10 percent interest. How much more money must you deposit today than your sister did if you are to have the same amount at the end of the 10 years? Question 6 options: 25,198 20,614 15,398 10,568 12,460arrow_forwardK You are saving for retirement. To live comfortably, you decide you will need to save $3 million by the time you are 65. Today is your 20th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 7%, how much must you set aside each year to make sure that you will have $3 million in the account on your 65th birthday? www The amount to deposit each year is $. (Round to the nearest dollar.)arrow_forward
- K You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 21st birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 9%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? The amount to deposit each year is $(Round to the nearest dollar)arrow_forwardQ.8: John Long Waite will receive $100,000 in 50 years. His friends are very jealous of him. If the funds are discounted back at a rate of 14 percent, what is the present value of his future "pot of gold"?arrow_forwardTET Future value of ordinary Annuity MONDS Example. N I need to have 1 billion to prepare for my son's education on his 18th birthday. At the end of each year starting from his next 3rd birthday, I want to invest 30 millions at 10 per cent compounded annually. Find (a) the future value of this annuity, (b) the amount interest that the investment earns, (c) do I need to invest more? 11/22/2022 TCL 1²2=921 5 = 61.2 million 19 S-P(₁+1)^² += 25 years t ti 17 Take (7) - (2 S-S(1+1)arrow_forward
- SHOW COMPLETE AND ORGANIZED SOLUTION1) A man wishes to bequeath to his son P100,000 ten years from now. What amount should he invest now if it will earn interest of 8% compounded annually during the first 5 years and 12% compounded quarterly during the next 5 years?2)If you are to invest your money, which is a better option: 12% compounded monthly, 12.20% compounded quarterly, 12.35% compounded semi-annually or 12.5% compounded annually?3) Determine the ordinary and exact simple interest on P60,000.00 for the period from January 16 to November 26, 2008 if the rate of interest is 14%arrow_forward12 You expect to need $59,000 per year for 25 years when you retire, and the first annual payment will take place 40 years from today. If you wanted to fully fund your retirement with a single deposit today, how much money would you need to deposit? Use a discount rate is 4%? Do not round intermediate calculations. Round your answer to the nearest penny. [no answer) Correct Answer: 199659.80arrow_forward3. A man desires to have P3M money in his savings when he retires after 25 years. This has amount in the present purchasing power. If the expected average inflation rate is 7% per year and the savings earns 5.5% , what lump sum of money should he invest now?arrow_forward
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